Date: Monday March 8, 4:30pm Speaker: Amit Chakrabarti TITLE: Randomized Rounding of Semidefinite Relaxations ABSTRACT: Developing approximation algorithms for NP-complete problems is an important area of theoretical computer science. Recent work has shown that for some important problems, solving a semidefinite programming relaxation followed by "rouding" the solution to an integer solution using a randomized rounding scheme, provides the best known approximation factors. In this talk, I shall describe algorithms for MAX-CUT, MAX-2SAT, MAX-SAT and GRAPH-COLORING which use this approach. No prior exposure to the theory of semidefinite programming will be required.